Quaternionic Speh representations (Q6052104)

Let \(D\) stand for a central division algebra over a local or global field \(F\). In the paper under the review, the author studies a family of representations with unique models of \(\mathrm{GL}_{k, D}\), which can be viewed as analogs of Speh representations. It is shown that studied representations support unique models of degenerate type at the non-archimedean places. Globally, it is shown that studied representations support certain non-vanishing Fourier coefficients.